Global and local asymptotics for the busy period of an M/G/1 queue

Global and local asymptotics for the busy period of an M/G/1 queue

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Article ID: iaor20102718
Volume: 64
Issue: 4
Start Page Number: 383
End Page Number: 393
Publication Date: Apr 2010
Journal: Queueing Systems
Authors: ,
Keywords: M/G/1 queues
Abstract:

We consider an M/G/1 queue with subexponential service times. We give a simple derivation of the global and local asymptotics for the busy period. Our analysis relies on the explicit formula for the joint distribution for the number of customers and the length of the busy period of an M/G/1 queue.

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